1. ## degree 4

Give an example, with justification?
An element of Q[x] of degree 4, with no roots in Q?

2. Originally Posted by puneet
Give an example, with justification?
An element of Q[x] of degree 4, with no roots in Q?
too many.. here is one..

$x^4+1$

it doesn't even have any roots is $\mathbb{R}$.. Ü